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Determine the smallest integer value of 
x in the solution of the following inequality.

4x-8 > -5
Answer: 
x=

Determine the smallest integer value of x x in the solution of the following inequality.\newline4x8>5 4 x-8>-5 \newlineAnswer: x= x=

Full solution

Q. Determine the smallest integer value of x x in the solution of the following inequality.\newline4x8>5 4 x-8>-5 \newlineAnswer: x= x=
  1. Isolate variable term: Isolate the variable term on one side of the inequality. To do this, we need to add 88 to both sides of the inequality to cancel out the 8-8 on the left side. 4x8+8>5+84x - 8 + 8 > -5 + 8
  2. Simplify both sides: Simplify both sides of the inequality. 4x>34x > 3
  3. Divide by coefficient: Divide both sides of the inequality by the coefficient of xx to solve for xx.4x4>34\frac{4x}{4} > \frac{3}{4}
  4. Simplify after dividing: Simplify the inequality after dividing. x>34x > \frac{3}{4}
  5. Find smallest integer: Find the smallest integer value of xx that satisfies the inequality.\newlineSince xx must be greater than 34\frac{3}{4}, the smallest integer value that is greater than 34\frac{3}{4} is 11.